105977053780 has 48 divisors (see below), whose sum is σ = 253769498640. Its totient is φ = 36828223488.

The previous prime is 105977053753. The next prime is 105977053781. The reversal of 105977053780 is 87350779501.

It can be written as a sum of positive squares in 8 ways, for example, as 1210900804 + 104766152976 = 34798^2 + 323676^2 .

It is a super-2 number, since 2×105977053780² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105977053781) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11983935 + ... + 11992774.

It is an arithmetic number, because the mean of its divisors is an integer number (5286864555).

Almost surely, 2^105977053780 is an apocalyptic number.

105977053780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105977053780 is an abundant number, since it is smaller than the sum of its proper divisors (147792444860).

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

105977053780 is a wasteful number, since it uses less digits than its factorization.

105977053780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23976748 (or 23976746 counting only the distinct ones).

The product of its (nonzero) digits is 1852200, while the sum is 52.

The spelling of 105977053780 in words is "one hundred five billion, nine hundred seventy-seven million, fifty-three thousand, seven hundred eighty".