10269908100 has 108 divisors (see below), whose sum is σ = 32229405936. Its totient is φ = 2735328960.

The previous prime is 10269908081. The next prime is 10269908107. The reversal of 10269908100 is 180996201.

It is a super-2 number, since 2×10269908100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10269908107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 788239 + ... + 801161.

Almost surely, 2^10269908100 is an apocalyptic number.

10269908100 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 10269908100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16114702968).

10269908100 is an abundant number, since it is smaller than the sum of its proper divisors (21959497836).

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

10269908100 is a wasteful number, since it uses less digits than its factorization.

10269908100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13826 (or 13816 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The spelling of 10269908100 in words is "ten billion, two hundred sixty-nine million, nine hundred eight thousand, one hundred".