100629140 has 48 divisors (see below), whose sum is σ = 221574528. Its totient is φ = 38315904.

The previous prime is 100629119. The next prime is 100629169. The reversal of 100629140 is 41926001.

100629140 = T₁₅₇ + T₁₅₈ + ... + T₈₄₆.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129794 + ... + 130566.

It is an arithmetic number, because the mean of its divisors is an integer number (4616136).

Almost surely, 2^100629140 is an apocalyptic number.

100629140 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 100629140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110787264).

100629140 is an abundant number, since it is smaller than the sum of its proper divisors (120945388).

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

100629140 is a wasteful number, since it uses less digits than its factorization.

100629140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1088 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 100629140 is about 10031.4076778885. The cubic root of 100629140 is about 465.1302521767.

The spelling of 100629140 in words is "one hundred million, six hundred twenty-nine thousand, one hundred forty".