109951928100 has 243 divisors, whose sum is σ = 401159732337. Its totient is φ = 25115952960.

The previous prime is 109951928089. The next prime is 109951928117. The reversal of 109951928100 is 1829159901.

The square root of 109951928100 is 331590.

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

109951928100 is a `hidden beast` number, since 1 + 0 + 9 + 9 + 519 + 28 + 100 = 666.

It can be written as a sum of positive squares in only one way, i.e., 39582694116 + 70369233984 = 198954^2 + 265272^2 .

It is a super-2 number, since 2×109951928100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 69633111 + ... + 69634689.

Almost surely, 2^109951928100 is an apocalyptic number.

109951928100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

109951928100 is the 331590-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109951928100

109951928100 is an abundant number, since it is smaller than the sum of its proper divisors (291207804237).

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

109951928100 is a wasteful number, since it uses less digits than its factorization.

109951928100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3192 (or 1596 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 45.

The spelling of 109951928100 in words is "one hundred nine billion, nine hundred fifty-one million, nine hundred twenty-eight thousand, one hundred".