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106040200 = 2352775743
BaseRepresentation
bin1100101001000…
…00101110001000
321101112101210211
412110200232020
5204121241300
614304450504
72425220050
oct624405610
9241471724
10106040200
1154947632
122b619a34
1318c79ba6
1410124560
1594994ba
hex6520b88

106040200 has 48 divisors (see below), whose sum is σ = 281767680. Its totient is φ = 36356160.

The previous prime is 106040191. The next prime is 106040201. The reversal of 106040200 is 2040601.

It is a super-2 number, since 2×1060402002 = 22489048032080000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106040201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36472 + ... + 39271.

It is an arithmetic number, because the mean of its divisors is an integer number (5870160).

Almost surely, 2106040200 is an apocalyptic number.

106040200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106040200 is an abundant number, since it is smaller than the sum of its proper divisors (175727480).

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

106040200 is a wasteful number, since it uses less digits than its factorization.

106040200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75766 (or 75757 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 106040200 is about 10297.5822405067. The cubic root of 106040200 is about 473.3221690593.

Adding to 106040200 its reverse (2040601), we get a palindrome (108080801).

The spelling of 106040200 in words is "one hundred six million, forty thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 75743 151486 302972 378715 530201 605944 757430 1060402 1514860 1893575 2120804 2651005 3029720 3787150 4241608 5302010 7574300 10604020 13255025 15148600 21208040 26510050 53020100 106040200