106456371063400 has 48 divisors (see below), whose sum is σ = 247512229592940. Its totient is φ = 42582347673600.

The previous prime is 106456371063283. The next prime is 106456371063403. The reversal of 106456371063400 is 4360173654601.

It can be written as a sum of positive squares in 6 ways, for example, as 35393527968516 + 71062843094884 = 5949246^2 + 8429878^2 .

It is a super-2 number, since 2×106456371063400² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106456371063403) 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, 45646462 + ... + 47921938.

Almost surely, 2^{106456371063400} is an apocalyptic number.

106456371063400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106456371063400 is an abundant number, since it is smaller than the sum of its proper divisors (141055858529540).

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

106456371063400 is a wasteful number, since it uses less digits than its factorization.

106456371063400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2509414 (or 2509405 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 46.

The spelling of 106456371063400 in words is "one hundred six trillion, four hundred fifty-six billion, three hundred seventy-one million, sixty-three thousand, four hundred".