105156454000 has 80 divisors (see below), whose sum is σ = 273827473920. Its totient is φ = 38826988800.

The previous prime is 105156453991. The next prime is 105156454003. The reversal of 105156454000 is 454651501.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×105156454000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105156454003) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1996240 + ... + 2048239.

It is an arithmetic number, because the mean of its divisors is an integer number (3422843424).

Almost surely, 2^105156454000 is an apocalyptic number.

105156454000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105156454000 is an abundant number, since it is smaller than the sum of its proper divisors (168671019920).

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

105156454000 is a wasteful number, since it uses less digits than its factorization.

105156454000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4044515 (or 4044499 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 31.

The spelling of 105156454000 in words is "one hundred five billion, one hundred fifty-six million, four hundred fifty-four thousand".