105937957987990 has 16 divisors (see below), whose sum is σ = 191070465318000. Its totient is φ = 42290262986400.

The previous prime is 105937957987987. The next prime is 105937957987991. The reversal of 105937957987990 is 99789759739501.

It is a super-2 number, since 2×105937957987990² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105937957987991) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10615020861 + ... + 10615030840.

It is an arithmetic number, because the mean of its divisors is an integer number (11941904082375).

Almost surely, 2^{105937957987990} is an apocalyptic number.

105937957987990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105937957987990 is a deficient number, since it is larger than the sum of its proper divisors (85132507330010).

105937957987990 is a wasteful number, since it uses less digits than its factorization.

105937957987990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21230052207.

The product of its (nonzero) digits is 12152284200, while the sum is 88.

The spelling of 105937957987990 in words is "one hundred five trillion, nine hundred thirty-seven billion, nine hundred fifty-seven million, nine hundred eighty-seven thousand, nine hundred ninety".