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102120000 = 263542337
BaseRepresentation
bin1100001011000…
…11101001000000
321010011020022020
412011203221000
5202120320000
614044441440
72350001643
oct605435100
9233136266
10102120000
115270a2a4
122a249280
1318206748
14d7c3a5a
158e72ba0
hex6163a40

102120000 has 280 divisors, whose sum is σ = 361834176. Its totient is φ = 25344000.

The previous prime is 102119987. The next prime is 102120001. The reversal of 102120000 is 21201.

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 (102120001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2759982 + ... + 2760018.

Almost surely, 2102120000 is an apocalyptic number.

102120000 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 102120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180917088).

102120000 is an abundant number, since it is smaller than the sum of its proper divisors (259714176).

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

102120000 is an equidigital number, since it uses as much as digits as its factorization.

102120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 70 counting only the distinct ones).

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

The square root of 102120000 is about 10105.4440773278. Note that the first 3 decimals coincide. The cubic root of 102120000 is about 467.4160296057.

Adding to 102120000 its reverse (21201), we get a palindrome (102141201).

The spelling of 102120000 in words is "one hundred two million, one hundred twenty thousand".