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102200100 = 22352443769
BaseRepresentation
bin1100001011101…
…11001100100100
321010022022011220
412011313030210
5202130400400
614050300340
72350454322
oct605671444
9233268156
10102200100
11527644a2
122a2876b0
1318234042
14d804d12
158e8b7a0
hex6177324

102200100 has 72 divisors (see below), whose sum is σ = 296751840. Its totient is φ = 27156480.

The previous prime is 102200093. The next prime is 102200101. The reversal of 102200100 is 1002201.

Adding to 102200100 its reverse (1002201), we get a palindrome (103202301).

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (102200101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132516 + ... + 133284.

Almost surely, 2102200100 is an apocalyptic number.

102200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148375920).

102200100 is an abundant number, since it is smaller than the sum of its proper divisors (194551740).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102200100 is a wasteful number, since it uses less digits than its factorization.

102200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 102200100 is about 10109.4065107701. The cubic root of 102200100 is about 467.5382069111.

The spelling of 102200100 in words is "one hundred two million, two hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 443 769 886 1329 1538 1772 2215 2307 2658 3076 3845 4430 4614 5316 6645 7690 8860 9228 11075 11535 13290 15380 19225 22150 23070 26580 33225 38450 44300 46140 57675 66450 76900 115350 132900 230700 340667 681334 1022001 1362668 1703335 2044002 3406670 4088004 5110005 6813340 8516675 10220010 17033350 20440020 25550025 34066700 51100050 102200100