105554150400 has 264 divisors, whose sum is σ = 367228197280. Its totient is φ = 26665943040.

The previous prime is 105554150341. The next prime is 105554150411. The reversal of 105554150400 is 4051455501.

It is a super-2 number, since 2×105554150400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1423032 + ... + 1495368.

Almost surely, 2^105554150400 is an apocalyptic number.

105554150400 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 105554150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183614098640).

105554150400 is an abundant number, since it is smaller than the sum of its proper divisors (261674046880).

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

105554150400 is a wasteful number, since it uses less digits than its factorization.

105554150400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72389 (or 72366 counting only the distinct ones).

The product of its (nonzero) digits is 10000, while the sum is 30.

The spelling of 105554150400 in words is "one hundred five billion, five hundred fifty-four million, one hundred fifty thousand, four hundred".