100105478701560 has 512 divisors, whose sum is σ = 359408897280000. Its totient is φ = 24691312926720.

The previous prime is 100105478701559. The next prime is 100105478701561. The reversal of 100105478701560 is 65107874501001.

100105478701560 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 0 + 5 + 4 + 7 + 87 + 0 + 1 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (100105478701559) and next prime (100105478701561).

It is a super-2 number, since 2×100105478701560² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100105478701561) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4236539826 + ... + 4236563454.

It is an arithmetic number, because the mean of its divisors is an integer number (701970502500).

Almost surely, 2^{100105478701560} is an apocalyptic number.

100105478701560 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 100105478701560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179704448640000).

100105478701560 is an abundant number, since it is smaller than the sum of its proper divisors (259303418578440).

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

100105478701560 is a wasteful number, since it uses less digits than its factorization.

100105478701560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27636 (or 27626 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 45.

The spelling of 100105478701560 in words is "one hundred trillion, one hundred five billion, four hundred seventy-eight million, seven hundred one thousand, five hundred sixty".