101978426088 has 512 divisors, whose sum is σ = 369111859200. Its totient is φ = 25313990400.

The previous prime is 101978426071. The next prime is 101978426089. The reversal of 101978426088 is 880624879101.

101978426088 is a `hidden beast` number, since 10 + 19 + 7 + 8 + 4 + 2 + 608 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (101978426089) 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, 42792945 + ... + 42795327.

It is an arithmetic number, because the mean of its divisors is an integer number (720921600).

Almost surely, 2^101978426088 is an apocalyptic number.

101978426088 is a gapful number since it is divisible by the number (18) 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 101978426088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184555929600).

101978426088 is an abundant number, since it is smaller than the sum of its proper divisors (267133433112).

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

101978426088 is a wasteful number, since it uses less digits than its factorization.

101978426088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2530 (or 2520 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 101978426088 in words is "one hundred one billion, nine hundred seventy-eight million, four hundred twenty-six thousand, eighty-eight".