106761077964800 has 1440 divisors, whose sum is σ = 322518981464064. Its totient is φ = 34290008064000.

The previous prime is 106761077964799. The next prime is 106761077964803. The reversal of 106761077964800 is 8469770167601.

It is a super-2 number, since 2×106761077964800² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is not an unprimeable number, because it can be changed into a prime (106761077964803) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 617116057514 + ... + 617116057686.

Almost surely, 2^{106761077964800} is an apocalyptic number.

106761077964800 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 106761077964800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161259490732032).

106761077964800 is an abundant number, since it is smaller than the sum of its proper divisors (215757903499264).

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

106761077964800 is a wasteful number, since it uses less digits than its factorization.

106761077964800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 21337344, while the sum is 62.

The spelling of 106761077964800 in words is "one hundred six trillion, seven hundred sixty-one billion, seventy-seven million, nine hundred sixty-four thousand, eight hundred".