100677463488 has 840 divisors, whose sum is σ = 365783774400. Its totient is φ = 27263029248.

The previous prime is 100677463457. The next prime is 100677463493. The reversal of 100677463488 is 884364776001.

100677463488 is a `hidden beast` number, since 100 + 6 + 77 + 463 + 4 + 8 + 8 = 666.

It is a super-2 number, since 2×100677463488² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

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 119 ways as a sum of consecutive naturals, for example, 581950570 + ... + 581950742.

Almost surely, 2^100677463488 is an apocalyptic number.

100677463488 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 100677463488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182891887200).

100677463488 is an abundant number, since it is smaller than the sum of its proper divisors (265106310912).

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

100677463488 is a wasteful number, since it uses less digits than its factorization.

100677463488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 100677463488 in words is "one hundred billion, six hundred seventy-seven million, four hundred sixty-three thousand, four hundred eighty-eight".