10061410164100 has 36 divisors (see below), whose sum is σ = 21833397795328. Its totient is φ = 4024538676000.

The previous prime is 10061410164089. The next prime is 10061410164109. The reversal of 10061410164100 is 146101416001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (10061410164109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30523165 + ... + 30851035.

Almost surely, 2^{10061410164100} is an apocalyptic number.

10061410164100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10061410164100 is an abundant number, since it is smaller than the sum of its proper divisors (11771987631228).

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

10061410164100 is a wasteful number, since it uses less digits than its factorization.

10061410164100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634756 (or 634749 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The spelling of 10061410164100 in words is "ten trillion, sixty-one billion, four hundred ten million, one hundred sixty-four thousand, one hundred".