100077334 has 32 divisors (see below), whose sum is σ = 184757760. Its totient is φ = 39677568.

The previous prime is 100077323. The next prime is 100077337. The reversal of 100077334 is 433770001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 100077299 and 100077308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100077337) 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, 10479 + ... + 17605.

It is an arithmetic number, because the mean of its divisors is an integer number (5773680).

Almost surely, 2^100077334 is an apocalyptic number.

100077334 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

100077334 is a deficient number, since it is larger than the sum of its proper divisors (84680426).

100077334 is a wasteful number, since it uses less digits than its factorization.

100077334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7212.

The product of its (nonzero) digits is 1764, while the sum is 25.

The square root of 100077334 is about 10003.8659527205. The cubic root of 100077334 is about 464.2785034079.

The spelling of 100077334 in words is "one hundred million, seventy-seven thousand, three hundred thirty-four".