100779840 has 168 divisors, whose sum is σ = 396240000. Its totient is φ = 23030784.

The previous prime is 100779829. The next prime is 100779851. The reversal of 100779840 is 48977001.

It is an interprime number because it is at equal distance from previous prime (100779829) and next prime (100779851).

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 100779795 and 100779804.

It is a congruent number.

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, 17661 + ... + 22659.

Almost surely, 2^100779840 is an apocalyptic number.

100779840 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 100779840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198120000).

100779840 is an abundant number, since it is smaller than the sum of its proper divisors (295460160).

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

100779840 is a wasteful number, since it uses less digits than its factorization.

100779840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5029 (or 5016 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 100779840 is about 10038.9162761724. The cubic root of 100779840 is about 465.3623259978.

The spelling of 100779840 in words is "one hundred million, seven hundred seventy-nine thousand, eight hundred forty".