103629414 has 24 divisors (see below), whose sum is σ = 241097688. Its totient is φ = 29608320.

The previous prime is 103629397. The next prime is 103629419. The reversal of 103629414 is 414926301.

It is a super-3 number, since 3×103629414³ (a number of 25 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103629419) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 175947 + ... + 176534.

It is an arithmetic number, because the mean of its divisors is an integer number (10045737).

Almost surely, 2^103629414 is an apocalyptic number.

103629414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

103629414 is an abundant number, since it is smaller than the sum of its proper divisors (137468274).

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

103629414 is a wasteful number, since it uses less digits than its factorization.

103629414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352500 (or 352493 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 103629414 is about 10179.8533388257. The cubic root of 103629414 is about 469.7077011567.

The spelling of 103629414 in words is "one hundred three million, six hundred twenty-nine thousand, four hundred fourteen".