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106521948 = 223213227611
BaseRepresentation
bin1100101100101…
…10010101011100
321102102212122100
412112112111130
5204232200243
614323045100
72432264421
oct626262534
9242385570
10106521948
1155146575
122b810790
13190b8250
141020bd48
1595420d3
hex659655c

106521948 has 36 divisors (see below), whose sum is σ = 289977688. Its totient is φ = 32775840.

The previous prime is 106521937. The next prime is 106521953. The reversal of 106521948 is 849125601.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1065219482 = 22693850811429408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 113338 + ... + 114273.

Almost surely, 2106521948 is an apocalyptic number.

106521948 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

106521948 is an abundant number, since it is smaller than the sum of its proper divisors (183455740).

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

106521948 is a wasteful number, since it uses less digits than its factorization.

106521948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227634 (or 227629 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 106521948 is about 10320.9470495687. The cubic root of 106521948 is about 474.0378648382.

The spelling of 106521948 in words is "one hundred six million, five hundred twenty-one thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 227611 455222 682833 910444 1365666 2048499 2731332 2958943 4096998 5917886 8193996 8876829 11835772 17753658 26630487 35507316 53260974 106521948