105057189972 has 384 divisors, whose sum is σ = 343100620800. Its totient is φ = 27123465600.

The previous prime is 105057189971. The next prime is 105057189973. The reversal of 105057189972 is 279981750501.

105057189972 is a `hidden beast` number, since 10 + 50 + 571 + 8 + 9 + 9 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (105057189971) and next prime (105057189973).

It is a super-2 number, since 2×105057189972² (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 not an unprimeable number, because it can be changed into a prime (105057189971) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 31613503 + ... + 31616825.

It is an arithmetic number, because the mean of its divisors is an integer number (893491200).

Almost surely, 2^105057189972 is an apocalyptic number.

105057189972 is a gapful number since it is divisible by the number (12) 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 105057189972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171550310400).

105057189972 is an abundant number, since it is smaller than the sum of its proper divisors (238043430828).

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

105057189972 is a wasteful number, since it uses less digits than its factorization.

105057189972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3464 (or 3456 counting only the distinct ones).

The product of its (nonzero) digits is 1587600, while the sum is 54.

The spelling of 105057189972 in words is "one hundred five billion, fifty-seven million, one hundred eighty-nine thousand, nine hundred seventy-two".