103629120 has 168 divisors, whose sum is σ = 382914144. Its totient is φ = 23675904.

The previous prime is 103629109. The next prime is 103629139. The reversal of 103629120 is 21926301.

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

It is a super-3 number, since 3×103629120³ (a number of 25 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 45939 + ... + 48141.

Almost surely, 2^103629120 is an apocalyptic number.

103629120 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 103629120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191457072).

103629120 is an abundant number, since it is smaller than the sum of its proper divisors (279285024).

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

103629120 is a wasteful number, since it uses less digits than its factorization.

103629120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2237 (or 2220 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 103629120 is about 10179.8388985288. The cubic root of 103629120 is about 469.7072569643.

The spelling of 103629120 in words is "one hundred three million, six hundred twenty-nine thousand, one hundred twenty".