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10158100 = 2252101581
BaseRepresentation
bin100110110000…
…000000010100
3201010002021221
4212300000110
510100024400
61001420124
7152225311
oct46600024
921102257
1010158100
115808a27
12349a644
132148814
1414c5d08
15d59c1a
hex9b0014

10158100 has 18 divisors (see below), whose sum is σ = 22043294. Its totient is φ = 4063200.

The previous prime is 10158097. The next prime is 10158107. The reversal of 10158100 is 185101.

It can be written as a sum of positive squares in 3 ways, for example, as 498436 + 9659664 = 706^2 + 3108^2 .

It is a super-2 number, since 2×101581002 = 206373991220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10158107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50691 + ... + 50890.

Almost surely, 210158100 is an apocalyptic number.

10158100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10158100 is an abundant number, since it is smaller than the sum of its proper divisors (11885194).

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

10158100 is a wasteful number, since it uses less digits than its factorization.

10158100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101595 (or 101588 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 16.

The square root of 10158100 is about 3187.1774346591. The cubic root of 10158100 is about 216.5729246023.

The spelling of 10158100 in words is "ten million, one hundred fifty-eight thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101581 203162 406324 507905 1015810 2031620 2539525 5079050 10158100