100461228 has 48 divisors (see below), whose sum is σ = 283659264. Its totient is φ = 27014400.

The previous prime is 100461223. The next prime is 100461233. The reversal of 100461228 is 822164001.

100461228 = T₃₉₇ + T₃₉₈ + ... + T₈₇₂.

It is an interprime number because it is at equal distance from previous prime (100461223) and next prime (100461233).

It is a junction number, because it is equal to n+sod(n) for n = 100461198 and 100461207.

It is not an unprimeable number, because it can be changed into a prime (100461223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33748 + ... + 36603.

It is an arithmetic number, because the mean of its divisors is an integer number (5909568).

Almost surely, 2^100461228 is an apocalyptic number.

It is an amenable number.

100461228 is an abundant number, since it is smaller than the sum of its proper divisors (183198036).

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

100461228 is a wasteful number, since it uses less digits than its factorization.

100461228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70382 (or 70380 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 100461228 is about 10023.0348697388. The cubic root of 100461228 is about 464.8713992853.

The spelling of 100461228 in words is "one hundred million, four hundred sixty-one thousand, two hundred twenty-eight".