105112632 has 64 divisors (see below), whose sum is σ = 279655200. Its totient is φ = 32808960.

The previous prime is 105112613. The next prime is 105112703. The reversal of 105112632 is 236211501.

It is a super-2 number, since 2×105112632² = 22097330811934848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105112599 and 105112608.

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, 97794 + ... + 98862.

Almost surely, 2^105112632 is an apocalyptic number.

105112632 is a gapful number since it is divisible by the number (12) 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 105112632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139827600).

105112632 is an abundant number, since it is smaller than the sum of its proper divisors (174542568).

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

105112632 is a wasteful number, since it uses less digits than its factorization.

105112632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1336 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 105112632 is about 10252.4451717627. The cubic root of 105112632 is about 471.9380245162.

The spelling of 105112632 in words is "one hundred five million, one hundred twelve thousand, six hundred thirty-two".