100739977 has 16 divisors (see below), whose sum is σ = 119871360. Its totient is φ = 83711232.

The previous prime is 100739953. The next prime is 100739981. The reversal of 100739977 is 779937001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100739977 - 2¹¹ = 100737929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100739477) 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, 4827 + ... + 14992.

It is an arithmetic number, because the mean of its divisors is an integer number (7491960).

Almost surely, 2^100739977 is an apocalyptic number.

100739977 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

100739977 is a deficient number, since it is larger than the sum of its proper divisors (19131383).

100739977 is a wasteful number, since it uses less digits than its factorization.

100739977 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19872.

The product of its (nonzero) digits is 83349, while the sum is 43.

The square root of 100739977 is about 10036.9306563311. The cubic root of 100739977 is about 465.3009606003.

The spelling of 100739977 in words is "one hundred million, seven hundred thirty-nine thousand, nine hundred seventy-seven".