105401952 has 48 divisors (see below), whose sum is σ = 307424880. Its totient is φ = 35133696.

The previous prime is 105401869. The next prime is 105401969. The reversal of 105401952 is 259104501.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×105401952² = 22219142970820608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60133 + ... + 61860.

It is an arithmetic number, because the mean of its divisors is an integer number (6404685).

Almost surely, 2^105401952 is an apocalyptic number.

105401952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105401952 is an abundant number, since it is smaller than the sum of its proper divisors (202022928).

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

105401952 is a wasteful number, since it uses less digits than its factorization.

105401952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122012 (or 121998 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 105401952 is about 10266.5452806677. The cubic root of 105401952 is about 472.3706272158.

The spelling of 105401952 in words is "one hundred five million, four hundred one thousand, nine hundred fifty-two".