11900628100 has 27 divisors (see below), whose sum is σ = 25826730447. Its totient is φ = 4759814880.

The previous prime is 11900628079. The next prime is 11900628107. The reversal of 11900628100 is 182600911.

It is a happy number.

The square root of 11900628100 is 109090.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1986841476 + 9913786624 = 44574^2 + 99568^2 .

It is a super-2 number, since 2×11900628100² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11900628107) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1085446 + ... + 1096354.

Almost surely, 2^11900628100 is an apocalyptic number.

11900628100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11900628100 is the 109090-th square number.

It is an amenable number.

11900628100 is an abundant number, since it is smaller than the sum of its proper divisors (13926102347).

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

11900628100 is an frugal number, since it uses more digits than its factorization.

11900628100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21832 (or 10916 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 28.

It can be divided in two parts, 11900 and 628100, that added together give a square (640000 = 800²).

The spelling of 11900628100 in words is "eleven billion, nine hundred million, six hundred twenty-eight thousand, one hundred".