10106441100 has 162 divisors, whose sum is σ = 36850170084. Its totient is φ = 2310033600.

The previous prime is 10106441039. The next prime is 10106441123. The reversal of 10106441100 is 114460101.

10106441100 is a `hidden beast` number, since 1 + 0 + 10 + 644 + 1 + 10 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 70486 + ... + 158685.

Almost surely, 2^10106441100 is an apocalyptic number.

10106441100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10106441100 is an abundant number, since it is smaller than the sum of its proper divisors (26743728984).

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

10106441100 is a wasteful number, since it uses less digits than its factorization.

10106441100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229205 (or 229188 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The spelling of 10106441100 in words is "ten billion, one hundred six million, four hundred forty-one thousand, one hundred".